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We have investigated a cosmological model with variable speed of light ©, gravitational constant (G) and cosmological constant (Lambda). The model is shown to solve the horizon, flatness and monopole problems of the early universe. We have found that with a certain variation of these parameters the model predicts a cosmic acceleration. The model also predicts that for a flat universe Lambda vanishes in both radiation and matter phases. If the gravitational constant is allowed to increase then we might not need the existence of dark matter.

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